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Finding the Fourth Proportional to 76,032, 114,048.41 and 20,628

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Solution

The fourth proportional to 76,032, 114,048.41 and 20,628 is: 30,942.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,032 : 114,048.41 = 20,628 : x
  2. Step 2: Convert to fraction form
    76,032/114,048.41 = 20,628/x
  3. Step 3: Cross multiply
    76,032x = 114,048.41 × 20,628
  4. Step 4: Simplify right side
    76,032x = 2,352,590,498.34
  5. Step 5: Solve for x
    x = 2,352,590,498.34/76,032
  6. Step 6: Final answer
    x = 30,942.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.